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Finding the Fourth Proportional to 648,021.60, 894,227.76 and 357,635.76

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Solution

The fourth proportional to 648,021.60, 894,227.76 and 357,635.76 is: 493,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,021.60 : 894,227.76 = 357,635.76 : x
  2. Step 2: Convert to fraction form
    648,021.60/894,227.76 = 357,635.76/x
  3. Step 3: Cross multiply
    648,021.60x = 894,227.76 × 357,635.76
  4. Step 4: Simplify right side
    648,021.60x = 319,807,824,560.70
  5. Step 5: Solve for x
    x = 319,807,824,560.70/648,021.60
  6. Step 6: Final answer
    x = 493,514.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.